Sign up or sign in
logo
  1. Topology and Dynamics
  2. Icon: chevron
  3. SumTopo
  4. Icon: chevron
  5. 2025

Topological Dynamics and Continuum Theory

Icon: calendar Dynamics/CT Session Talk #2.3 | 2025 Aug 12 from 09:30AM to 09:55AM (Central Time (US & Canada)) | HUMB 148

‟Generalized Proinov-type contractions using simulation functions with applications to fractals” by Ramesh Kumar Devaraj <rameshkumard14@gmail.com>, Vellore Institute of Technology

Abstract:

The intention of this article is to introduce a generalization of Proinov-type contraction via simulation functions. We name this generalized contraction map as Proinov-type Z-contraction. This article establishes the existence and uniqueness of fixed points for these contraction mappings in quasi-metric space and also, include explanatory examples with graphical interpretation. As an application, we generate a new iterated function system (IFS) consisting of Proinov-type Z-contractions in quasi-metric spaces. At the end of the paper, we prove the existence of a unique attractor for the IFS consisting of Proinov-type Z-contractions.